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On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications

In the present paper we investigate the L1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L1-weak ergodicity is weaker than well-known weak ergodicity.We provide a necessary and sufficient condition for such processes to satisfy the L1-weak er...

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Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
Published: Springer 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf
http://irep.iium.edu.my/30702/
http://dx.doi.org/10.1007/s13163-012-0096-9
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spelling my.iium.irep.307022013-08-05T07:22:04Z http://irep.iium.edu.my/30702/ On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications Mukhamedov, Farrukh QA Mathematics In the present paper we investigate the L1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L1-weak ergodicity is weaker than well-known weak ergodicity.We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of discrete time quadratic stochastic processes. As an application of the main result, certain concrete examples are also provided. Springer 2013 Article REM application/pdf en http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf Mukhamedov, Farrukh (2013) On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications. Revista Matemática Complutense, 26 (2). pp. 799-813. ISSN 1139-1138 http://dx.doi.org/10.1007/s13163-012-0096-9 doi:10.1007/s13163-012-0096-9
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
description In the present paper we investigate the L1-weak ergodicity of nonhomogeneous discrete Markov processes with general state spaces. Note that the L1-weak ergodicity is weaker than well-known weak ergodicity.We provide a necessary and sufficient condition for such processes to satisfy the L1-weak ergodicity. Moreover, we apply the obtained results to establish L1-weak ergodicity of discrete time quadratic stochastic processes. As an application of the main result, certain concrete examples are also provided.
format Article
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_short On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_full On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_fullStr On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_full_unstemmed On L (1)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
title_sort on l (1)-weak ergodicity of nonhomogeneous discrete markov processes and its applications
publisher Springer
publishDate 2013
url http://irep.iium.edu.my/30702/1/mf-RevMatCom%282013%29.pdf
http://irep.iium.edu.my/30702/
http://dx.doi.org/10.1007/s13163-012-0096-9
_version_ 1643609922818015232
score 13.211869

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